1.7 PS-6
Quesu
Challenge You buy 3.17 pounds of pears, 1.45 pounds of oranges, and 1.77 pounds of grapes. What
is your total bill?
Grocery Store Prices
Item
Cost
Pears
$0.99 per
pound
Oranges $1.19 per
pound
Grapes
$1.29 per
pound
Your total bill is $
(Round to the nearest cent as needed.)
Ento

Answer:

3.98%

Step-by-step explanation:

R = $17,300/$435,000 = .0398, or 3.98%

Answer:

the value of a = 7..............

Answer:

[tex]h(x) = 3x + 8 \\ h(a) =3 a + 8 [/tex]

But, it is given that

[tex]h(a) = 29[/tex]

Therefore,

[tex]3a + 8 =29 \\ 3a = 29 - 8 \\ 3a = 21 \\ a = \frac{21}{3} \\ \boxed{ a = 7}[/tex]

Hence, the value of a is 7

You should first recognize the shape of the curve - it's an exponential function, so its equation takes the form [tex]y(x)=a\cdot b^{cx}[/tex] for some constants a, b, and c.

The curve lies above the x-axis, so a must be positive.

The curve is defined everywhere (there are no discontinuities), so b must be positive.

As you move left to right, the function is increasing, so c must also be positive. But to make things simpler, let's assume c = 1.

When x = 0, the curve passes through the point (0, 1). In our equation, we have

[tex]y(0) = a\cdot b^0 = a[/tex]

so it follows that a = 1.

When x = 1, the curve approximately passes through the point (1, 4); so

[tex]y(1) = b^1 = 4[/tex]

so b = 4.

Then the equation of the curve might be [tex]\boxed{y = 4^x}[/tex].

Answer:

x = 7x^2

Step-by-step explanation:

4x-14=-3x^2

x-14=3x^2

x= 7x^2

Answer:

3x²+4x-14=0

Step-by-step explanation:

Standard form of a quadratic equation is ax²+bx+c=0. To do that, simply move -3x² over to the other side by adding it. That leaves you with the answer.

===================================================

Explanation:

Let's say this population had 1000 people. You can pick any number you want, but I'm going for some nice big round number to work with.

The proportion of smokers is 0.3, which means 0.3*1000 = 300 people in this population are smokers and 1000-300 = 700 are nonsmokers.

Of the 300 people who do smoke, 40% of them lie on the application. This means 0.40*300 = 120 people lied. These 120 people say they don't smoke, but in fact they do smoke.

So if we were to survey this population, then 700+120 = 820 people would say they don't smoke

Only considering the people who write "don't smoke" on the survey, which is that 820 figure, 700 of them are true nonsmokers. Therefore, the probability we want is 700/820 = 0.8537 approximately

Answer:

8.61

Step-by-step explanation:

Answer:

8.61 I think try that okay

Answer:

D

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = \frac{1}{3} x + 2[/tex]

And we want to find its inverse h.

To find the inverse of a function, we can switch the y and x variables and solve for the new y. This will be our inverse.

We begin with:

[tex]\displaystyle f(x) = y = \frac{1}{3} x+ 2[/tex]

Switching the variables yield:

[tex]\displaystyle x = \frac{1}{3}y + 2[/tex]

And solving for y yields that:

[tex]\displaystyle y = h(x) = 3x - 6[/tex]

In conclusion, the inverse function to f is 3x - 6. Our answer is D.

To understand why we switch the variables, recall that by the definition of inverse functions, if f(a) = b, then f⁻¹(b) = a. So, by switching the variables, we are essentially solving for f⁻¹(x).

Answer:

C. Action: Divide both sides by 3.

F. Property: Division property of equality

Step-by-step explanation:

you are trying to get x by itself so if you divide by 3 you are taking the 3 from x, and what you do to one side you do to the other.

Answer:

C. Action: Divide both sides by 3.

F. Property: Division property of equality.

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

First, divide 3 from both sides of the equation:

(3x)/3 = (12)/3

x = 12/3

x = 4

C. Action: Divide both sides by 3.

F. Property: Division property of equality.

~

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

$ 80,000

Step-by-step explanation:

2/5 + 1/3 = (6 + 5)/15 = 11/15

15/15 - 11/15 = 4/15

4/15 of 300,000

4/15 x 300,000 = 1,200,000/15 = 80,000

Answer:

B. False

Step-by-step explanation:

To check if its a right angle triangle, you need to check if pythagoras' theorem works:

a² + b² = c²

(√17)² × (√17)² = 289 which is not equal to (√34)²

Answer:

2inch=1 foot

Step-by-step explanation:

so 2 to 1       2:1

Answer:

Step-by-step explanation:

Two of the legs will be at right angles to each other and have negative reciprocal slopes. Area will be half of the product of these two legs.

slope of DE (-3 - (-1)) / (1 - (-6)) = -2/7

slope of EF (4 - (-3)) / (3 - 1) = 7/2

so these two are perpendicular

check the DF line to be certain

slope of DF (4 - (-1)) / (3 - (-6)) = 5/9

Length of DE =  √(-2² + 7²) = √53

Length of EF = √(7² + 2²) = √53

Area of triangle

A = ½√53√53 = 26.5 units²

Answer:

[tex]y = a{x}^{2} + bx + c \\ 6 = a{2}^{2} + 2b + c \\ 6 = 4a+ 2b + c...(1) \\ 16 = 9a+ 3b + c...(2) \\ \frac{dy}{dx} = 7 = 4a + b...(3) \\ (2) - (1) \\ 10= 5a + b...(4) \\ (4) - (3) \\ 5a - 4a = 10 - 7 \\ \boxed{a = 3 }\\ sub \: a \: im \: (4) \\ 10 = 15 + b \\ \boxed{b = - 5} \\ sub \: a \: b \: in \: (1) \\ 6 = 4(3) + 2( - 5) + c \\\boxed{c = 4}[/tex]

1)true

2)true

3)false

4)true

5)true

6) false

7))true

8)true

9)false

10)false.

11)false

12)true

Answer:

90 degrees

Step-by-step explanation:

please say thanks

d/dx cot(x) = -csc²(x)

d/dx sin(x) = cos(x)

So, if f(x) = 4 cot(x) + 10 sin(x), then

f '(x) = -4 csc²(x) + 10 cos(x)

Answer:

$437.58

Step-by-step explanation:

15% + 28%

= 43%

43/100 × 306

= $131.58

$131.58 + $306

= $437.58

The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].

We need the knowledge of three distinct points to determine all coefficients of the vertical parabola based on the following general formula:

[tex]x^{2} + y^{2} + D\cdot x + E\cdot y + F = 0[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (-2, -18)[/tex], [tex](x_{2}, y_{2}) = (3,-13)[/tex] and [tex](x_{3}, y_{3}) = (5,-39)[/tex], then we have the following system of linear equations:

[tex]-2\cdot D -18\cdot E + F = -328[/tex] (2)

[tex]3\cdot D -13\cdot y + F = -178[/tex] (3)

[tex]5\cdot D -39\cdot E + F = -1546[/tex] (4)

The solution of the system of equations is: [tex]D = -21[/tex], [tex]E = 51[/tex], [tex]F = 548[/tex].

The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].

We kindly invite to check this question on parabolae: https://brainly.com/question/4074088

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The value of given expression is 2

Solution is in attachment ~

Answer:

f(x)=4x2−2x+8,

or, f(2)=4*2*2-2*2+8

or,f(2)=16-4+8

or,f(2)=20....

f(2)=20

Answer:

7.083

Step-by-step explanation:

Answer:

7.083 im pretty sure

Step-by-step explanation:

Answer:

I don't know sorry.....

Answer:

-43x - 5

Step-by-step explanation:

−3x + 5 (−8x −1)

First, distribute 5 into the parenthesis:

= −3x + 5 (−8x −1)

= -3x - 40x -5

Combine like terms:

= -43x - 5

Answer:

-43x - 5

Step-by-step explanation:

I took the K12 test

Answer:

13.6 - x = -64.2

Step-by-step explanation:

x = 77.8

13.6 - 77.8 = -64.2 True!

Answer:

x=77.8

Step-by-step explanation:

13.6-x=-64.2

-13.6. -13.6

---------------------

since there is already -x it wouldn't be -77.8 bc that would cancel it out

Answer:

Step-by-step explanation:

x² + 5x - 5 =  (-6)² + 5*(-6) - 5

                 = 36 - 30 - 5  

                 = 36 - 35

                 = 1

Answer:

1

Step-by-step explanation:

-6^(2)+5(-6)-5

36 + 5(-6) -5

36- 30- 5

6 - 5

1

#1

(56,7) is the co-ordinate of point B.

#2

(56,7)

It means that the ball has travelled 56yards .it is at the height of 7ft.

Answer:

(56,7) is the answer of this questions